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Finding the Third Proportional to 2,008,288 and 4,415,106.50

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Solution

The third proportional to 2,008,288 and 4,415,106.50 is: 9,706,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,288 : 4,415,106.50 = 4,415,106.50 : x
  2. Step 2: Convert to fraction form
    2,008,288/4,415,106.50 = 4,415,106.50/x
  3. Step 3: Cross multiply
    2,008,288x = 4,415,106.50 × 4,415,106.50
  4. Step 4: Simplify right side
    2,008,288x = 19,493,165,406,342.25
  5. Step 5: Solve for x
    x = 19,493,165,406,342.25/2,008,288
  6. Step 6: Final answer
    x = 9,706,359.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.